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Finding the Fourth Proportional to 2,044.36, 3,066.48 and 583.52

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Solution

The fourth proportional to 2,044.36, 3,066.48 and 583.52 is: 875.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.36 : 3,066.48 = 583.52 : x
  2. Step 2: Convert to fraction form
    2,044.36/3,066.48 = 583.52/x
  3. Step 3: Cross multiply
    2,044.36x = 3,066.48 × 583.52
  4. Step 4: Simplify right side
    2,044.36x = 1,789,352.41
  5. Step 5: Solve for x
    x = 1,789,352.41/2,044.36
  6. Step 6: Final answer
    x = 875.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.